HSS.ID.A.4

Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.

Example Problems
The grades on a biology midterm at Northgate are roughly symmetric with and . Lucas scored 65 on the exam.

Find the
z-score for Lucas's exam grade.
Round to two decimal places.
You have found the following ages (in years) of all 4 rhinos at your local zoo:


What is the
standard deviation of the age of the rhinos at your zoo? Round your answers to the nearest tenth.
The following data points represent the apples picked by a group of 5 friends.


Find the
standard deviation of the data set.
Round your answer to the nearest hundredth.
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